I have a pipe, which can fill water in a beaker in 6 hours. But, there is a hole at the bottom of the beaker that can empty the same beaker which is full of water in 8 hours.

How much time (in hours) will the pipe take to fill the beaker. If the hole is also opened?

**Assumptions:** The beaker is to be assumed empty when the pipe and hole are opened to fill and empty it respectively. Water is flowing out at a constant rate, regardless of the depth of the water.

This question is part of the set All-Zebra

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